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 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Understanding Recency Space\n",
    "Use `RecencySpace` to embed datetime signals and configure your embeddings to favor a specific recency profile."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "%pip install superlinked==37.5.0"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Recency Space"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "from datetime import datetime, timedelta\n",
    "import altair as alt\n",
    "from superlinked import framework as sl\n",
    "\n",
    "# Enable visualization on Github.\n",
    "# Ref: https://altair-viz.github.io/user_guide/display_frontends.html\n",
    "alt.renderers.enable(sl.get_altair_renderer())\n",
    "\n",
    "\n",
    "class Post(sl.Schema):\n",
    "    id: sl.IdField\n",
    "    created_at: sl.Timestamp  # Capture date and time as a unix timestamp in seconds.\n",
    "\n",
    "\n",
    "post = Post()\n",
    "\n",
    "recency_space = sl.RecencySpace(timestamp=post.created_at)  # Create a recency space to embed datetime information."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Use the `RecencyPlotter` to visualize the value set of the `RecencySpace`."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
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",
      "text/plain": [
       "<VegaLite 5 object>\n",
       "\n",
       "If you see this message, it means the renderer has not been properly enabled\n",
       "for the frontend that you are using. For more information, see\n",
       "https://altair-viz.github.io/user_guide/display_frontends.html#troubleshooting\n"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "sl.RecencyPlotter(recency_space).plot_recency_curve()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Periods\n",
    "You can provide the recency space key dates of interest (periods) to customize the recency space to your requirements."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
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",
      "text/plain": [
       "<VegaLite 5 object>\n",
       "\n",
       "If you see this message, it means the renderer has not been properly enabled\n",
       "for the frontend that you are using. For more information, see\n",
       "https://altair-viz.github.io/user_guide/display_frontends.html#troubleshooting\n"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "custom_recency_space = sl.RecencySpace(\n",
    "    timestamp=post.created_at,\n",
    "    period_time_list=[\n",
    "        sl.PeriodTime(timedelta(days=1)),  # One unit of the signal should be the previous day.\n",
    "        sl.PeriodTime(timedelta(days=7)),  # Another unit should be the previous week.\n",
    "        # Anything else should get a zero score.\n",
    "    ],\n",
    ")\n",
    "\n",
    "sl.RecencyPlotter(custom_recency_space).plot_recency_curve()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Weighted periods\n",
    "Use weights to give more importance to some periods."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.vegalite.v5+json": {
       "$schema": "https://vega.github.io/schema/vega-lite/v5.16.3.json",
       "config": {
        "view": {
         "continuousHeight": 300,
         "continuousWidth": 300
        }
       },
       "data": {
        "name": "data-e6a26dc9d55117684cbf327196676c44"
       },
       "datasets": {
        "data-e6a26dc9d55117684cbf327196676c44": [
         {
          "date": "2024-08-05T23:25:35",
          "score": 0
         },
         {
          "date": "2024-08-05T23:36:40.945946",
          "score": 0
         },
         {
          "date": "2024-08-05T23:47:46.891892",
          "score": 0
         },
         {
          "date": "2024-08-05T23:58:52.837838",
          "score": 0
         },
         {
          "date": "2024-08-06T00:09:58.783784",
          "score": 0
         },
         {
          "date": "2024-08-06T00:21:04.729730",
          "score": 0
         },
         {
          "date": "2024-08-06T00:32:10.675676",
          "score": 0
         },
         {
          "date": "2024-08-06T00:43:16.621622",
          "score": 0
         },
         {
          "date": "2024-08-06T00:54:22.567568",
          "score": 0
         },
         {
          "date": "2024-08-06T01:05:28.513514",
          "score": 0
         },
         {
          "date": "2024-08-06T01:16:34.459460",
          "score": 0
         },
         {
          "date": "2024-08-06T01:27:40.405406",
          "score": 0
         },
         {
          "date": "2024-08-06T01:38:46.351351",
          "score": 0
         },
         {
          "date": "2024-08-06T01:49:52.297297",
          "score": 0
         },
         {
          "date": "2024-08-06T02:00:58.243243",
          "score": 0
         },
         {
          "date": "2024-08-06T02:12:04.189189",
          "score": 0
         },
         {
          "date": "2024-08-06T02:23:10.135135",
          "score": 0
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",
      "text/plain": [
       "<VegaLite 5 object>\n",
       "\n",
       "If you see this message, it means the renderer has not been properly enabled\n",
       "for the frontend that you are using. For more information, see\n",
       "https://altair-viz.github.io/user_guide/display_frontends.html#troubleshooting\n"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "weighted_recency_space = sl.RecencySpace(\n",
    "    timestamp=post.created_at,\n",
    "    period_time_list=[\n",
    "        sl.PeriodTime(timedelta(days=1), weight=2),  # You can tune the ratio with weights.\n",
    "        sl.PeriodTime(timedelta(days=7)),\n",
    "    ],\n",
    ")\n",
    "\n",
    "sl.RecencyPlotter(weighted_recency_space).plot_recency_curve()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Setting NOW to a specific date\n",
    "\n",
    "During execution the RecencySpace will pick up on the NOW timestamp of the system, to allow you to experiment with historical data you can set the time to a specific date with the following code. CONTEXT_DATA will need to be supplied to the executor."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "CONTEXT_DATA = {sl.CONTEXT_COMMON: {sl.CONTEXT_COMMON_NOW: int(datetime(2024, 8, 10).timestamp())}}"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Querying recency\n",
    "\n",
    "When querying with recency, no input is necessary - recency will always be assessed compared to the system's `NOW`."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "index = sl.Index([recency_space])\n",
    "\n",
    "source: sl.InMemorySource = sl.InMemorySource(post)\n",
    "executor = sl.InMemoryExecutor(sources=[source], indices=[index], context_data=CONTEXT_DATA)\n",
    "app = executor.run()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "source.put(\n",
    "    [\n",
    "        {\"id\": \"post-1\", \"created_at\": int(datetime(2024, 8, 8).timestamp())},\n",
    "        {\"id\": \"post-2\", \"created_at\": int(datetime(2024, 8, 6).timestamp())},\n",
    "        {\"id\": \"post-3\", \"created_at\": int(datetime(2024, 8, 2).timestamp())},\n",
    "        {\"id\": \"post-4\", \"created_at\": int(datetime(2024, 7, 31).timestamp())},\n",
    "    ]\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>created_at</th>\n",
       "      <th>id</th>\n",
       "      <th>similarity_score</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>1723068000</td>\n",
       "      <td>post-1</td>\n",
       "      <td>0.974928</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>1722895200</td>\n",
       "      <td>post-2</td>\n",
       "      <td>0.900969</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>1722549600</td>\n",
       "      <td>post-3</td>\n",
       "      <td>0.623490</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>1722376800</td>\n",
       "      <td>post-4</td>\n",
       "      <td>0.433884</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   created_at      id  similarity_score\n",
       "0  1723068000  post-1          0.974928\n",
       "1  1722895200  post-2          0.900969\n",
       "2  1722549600  post-3          0.623490\n",
       "3  1722376800  post-4          0.433884"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "recency_result = app.query(sl.Query(index).find(post).select_all())\n",
    "sl.PandasConverter.to_pandas(recency_result)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The query results are chronologically ordered just as we would expect them to be."
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.10.9"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
